# Patent

## Title
Analog delay chain having more uniformly distributed capacitive loads and analog delay cell for use in chain

## Abstract

A tapped delay chain comprises a plurality of delay cells where each cell has at least two output taps: a primary one for feeding forward a delayed signal to a next cell in the chain, and a secondary output tap for feeding a slightly-differently delayed signal to a multiplier unit so that the slightly-differently delayed signal can be multiplied by a weighting coefficient. The split of output taps in each delay cell allows for a corresponding split of loading capacitance. Each output tap of the delay cell is loaded by a smaller capacitance than it would have had to otherwise drive had the split taps been instead lumped together as a common node. The reduced loading capacitance at each of the split taps allows for a wider frequency response range. The tapped delay chain may be used to form a feed-forward equalizer (FFE) which further comprises an adder, and a plurality of multipliers each respectively receiving a delayed input signal (Sin(delayed)) from a secondary output tap of a respective delay cell in the chain and each outputting a correspondingly delayed and weighted, product signal (Pi) to the adder.

## Background
CROSS REFERENCE TO CO-OWNED APPLICATIONS
The following copending U.S. patent applications are owned by the owner of the present application, and benefit is claimed pursuant to 35 USC §120 at least from the parent patent application denoted below as (A). The disclosures of said application (A) and the others are incorporated herein by reference:
(A) Ser. No. 10/928,420 filed Aug. 27, 2004 by Debanjan Mukherjee and Jishnu Bhattacharjee and entitled “Analog Delay Chain Having More Uniformly Distributed Capacitive Loads and Analog Delay Cell for Use in Chain”;
(B) Ser. No. 10/724,443 filed: Nov. 26, 2003 by Mukherjee et al and originally entitled “Analog Delay Elements”;
(C) Ser. No. 10/724,449 filed: Nov. 26, 2003 by Bhattacharjee et al and originally entitled “Digitally Controlled Transconductance Cell”; and
(D) Ser. No. 10/698,317 filed: Oct. 30, 2003 by Mukherjee et al and originally entitled “Programmable Passive Inductor”.
FIELD OF DISCLOSURE
The invention relates generally to analog delay lines with periodically tapped output nodes and more specifically to high frequency applications in which lumped capacitances can have detrimental effects on response bandwidth. The invention relates yet more specifically to high frequency applications where the tapped output nodes of the delay chain are to be utilized, by for example, programmably weighting each and summing them so as define a feedforward equalizer (FFE) or the like.
CROSS REFERENCE TO PATENTS
The disclosures of the following U.S. patents are incorporated herein by reference:

    (A) U.S. Pat. No. 6,545,502 issued Apr. 8, 2003 to Dasgupta et al. and entitled “High frequency MOS fixed and variable gain amplifiers”; and
    (B) U.S. Pat. No. 6,717,467 issued Apr. 6, 2004 to Renous et al. and entitled “Wideband differential amplifier comprising a high frequency gain-drop compensator device”.


DESCRIPTION OF RELATED ART
High speed communication links such as optical fiber links or electrically conductive links (e.g., copper links) typically operate at very high serial data rates, 1 Gb/s (one Giga bits per second) to 10 Gb/s for example. If analog processing is desired for the signals transmitted along these high speed links such processing may call for analog circuitry having extremely wide bandwidths. More specifically, if an optical-to-electrical-to-optical repeater is to be constructed that provides high fidelity reconstruction of a series of essentially rectangular pulses that have been passed through a relatively long link (e.g., a fiber link of about 100 meters or greater for the 10 Gb/s rate), the analog bandwidth may be on the order of several GHz. This is so because the frequency domain content of the rectangular pulses often extends to frequencies larger than the maximum bit rate of the transmission itself. Typically the 3 dB drop-off frequency will be rated at about 70% of the maximum bit rate for providing a good-fit solution to the tradeoff between filtering away high-end noise and minimizing inter-symbol-interference (ISI). Special analog design strategies may be needed for processing electrical signals with these types of constraints.
One known type of analog signal processing uses a periodically-tapped delay line. Each tap feeds a respective one of plural programmable multipliers. Each multiplier further receives a respective multiplying coefficient (Mi) and outputs a coefficient weighted version (Mi·S(t−Ti/k) of the delayed signal it has received from the tapped delay line. An adder may then sum together the delayed and weighted signals so as to provide a desired type of filtering function. The combination of the tapped delay line, plural multipliers and adder is sometimes referred to as a feed-forward equalizer (FFE). When the delay taps are equally spaced apart by less than a symbol period (T), the combination is referred to as a fractionally-spaced feed-forward equalizer (FS-FFE, e.g. tau=T/2 or tau=T/3).
A number of problems are associated with FFE's and FS-FFE's. These include how to maintain a desired delay in each stage despite variations associated with temperature, voltage and/or manufacturing deviations (fabrication process variations). Another problem is how to simultaneously provide for linear phase shift over the frequency range of interest. Another problem is how to simultaneously provide for unity gain in each of a series of delay cells while enabling the cells to provide flat magnitude response over the frequency range of interest.
SUMMARY
Structures and methods may be provided in accordance with the present invention for overcoming the above-described problems.
A tapped delay chain in accordance with the invention comprises a plurality of delay cells where each cell has at least two output taps: a primary one for feeding forward a delayed signal to a next cell in the chain, and a secondary output tap for feeding a slightly-differently delayed signal to a multiplier unit so that the slightly-differently delayed signal can be multiplied by a weighting coefficient. The split of output taps in each delay cell allows for a corresponding split of loading capacitance. Each output tap of the delay cell is loaded by a smaller capacitance than it would have had to otherwise drive had the split taps been instead lumped together as a common node. The reduced loading capacitance at each of the split taps allows for a wider frequency response range.
A feed-forward equalizer (FFE) in accordance with the invention comprises the tapped delay chain described above, an adder, and a plurality of multipliers each respectively receiving a delayed input signal (Si(delayed)) from a secondary output tap of a respective delay cell in the chain and each outputting a correspondingly delayed and weighted, product signal (Pi) to the adder.
A multi-tapped delay cell in accordance with the invention comprises: (a) first and second symmetrical transistors having respective first and second drain nodes through which sum-constant currents (Id1+Id2=Ic) respectively flow; and (b) first and second, symmetrical drain impedances (Zd1, Zd2) respectively coupled to the first and second drain nodes, where each of the variable drain impedances has a non-negligible inductance (L), a non-negligible capacitance (C) and a non-negligible resistance (R), and where at least first and second output taps are respectively provided at different parts of each respective drain impedance such that loading capacitance for the first and second output taps can be substantially smaller than such loading capacitance would have been had the first and second output taps been merged into a common output tap.
In one embodiment, at least two of the R, L and C components in each drain impedance (Zd1, Zd2) are programmably adjustable so that an input voltage versus output voltage transfer function of the differential amplifier can be programmably tuned in real time to compensate for variations in temperature and/or supply voltage and to assure that the primary output tap exhibits unity gain. The secondary output tap may advantageously exhibit a gain that is greater than unity.
A method in accordance with the invention comprises continuously tuning each of plural delay cells in a delay chain to provide unity gain between the input of each cell and the input of the next delay cell, where each delay cell has at least two output taps: a primary one for feeding forward a delayed signal to the next cell in the chain, and a secondary output tap for feeding a slightly-differently delayed (differently phased) and differently amplified signal to a multiplier unit so that the slightly-differently delayed signal can be multiplied by a weighting coefficient.
Other aspects of the disclosure will become apparent from the below detailed description.



BRIEF DESCRIPTION OF THE DRAWINGS
The below detailed description section makes reference to the accompanying drawings, in which:
FIG. 1 is a schematic diagram showing a conventional feedforward equalizer (FFE) and identifying a lumped capacitance problem associated with the architecture of such a conventional FFE;
FIG. 2 is a schematic diagram showing a split-taps, feedforward equalizer (st-FFE) in accordance with the invention; and
FIG. 3 is a schematic diagram showing a variable-gm and variable-RLC differential amplifier having multiple output taps for use in a split-taps delay chain such as the one shown in FIG. 2.



DETAILED DESCRIPTION
Referring to FIG. 1, an environment 100 in which cascaded delay cells may be employed is first described. Input signal Sin(t) may be a wide bandwidth communications signal such as that obtained from passing a series of substantially rectangular signal pulses through a transmission medium (e.g., a continuous fiber optic link) that exhibits signal dispersion. To correct for the dispersion, filtering is employed. In one embodiment, periodically delayed versions, Sin(t−i·T/k) of the input signal are generated, where i represents successive ones of a sequential series of whole numbers (0, 1, 2, . . . , n), k is a whole number such as 2 or 3, and τ=T/k, where T is a predefined symbol period. The periodically delayed versions of the input signal are respectively multiplied by independent weighting coefficients (Mi) and the resulting product signals (Pi) are added to produce an adaptively equalized output signal, Sout(t). Adaptive equalization may be carried out by changing the weighting coefficients (Mi).
More specifically, FIG. 1 shows that the input signal, Sin(t) is applied to a first input node 101 of a first delay cell 110. The first input node 101 is also coupled to a first multiplier 102, which receives as its second input a multiplying coefficient M0. The output signal, P0 emerges on node 103 and is supplied as an input to a multi-input adder 104. The output signal Sout(t) appears on output line 105 of the adder.
Ideally, the first delay cell 110, and each successive delay cell in the chain, 120, . . . , 1n0; provides unity gain and an output delay of time value, τ. The output of the first delay cell 110 couples to a first common node 111, which further connects to the input of the next delay cell 120 and also to the input of the next multiplier 112. Symbol 119 represents the combined capacitance, C1, at node 111 corresponding to the capacitances of the output of the first delay cell 110, the input of the second delay cell 120, the input of the second multiplier 112 and the interconnect routing associated with these terminals, where the effective combined capacitance, C1, can be parasitic in nature and/or intentionally designed in. The output of the second multiplier 112 feeds into input terminal 113 of adder 104. A similar pattern continues for the next successive delay cell and so on. Schematic symbol 129 represents the lumped capacitance, C2 for node 121, this corresponding to the capacitances of the output stage of the second delay cell 120, the input of the third multiplier 122 and the input of the next delay cell (not shown). The actual delay which each of the summed signals experiences includes the plurality of i delay cells the original Sin(t) passes through, plus a commonly-attributed delay, td1 associated with passing through the respective multiplier (e.g. 122) and through the summing unit 104 before emerging as part of the final sum on line 105. Symbol 106 represents this commonly associated delay, td1. The actual output signal on line 105 may be represented by the following equation, Eq. 1:




  
    
      
        
          
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Of importance, the frequency response of each delay stage, 110, 120, . . . , 1n0 depends on the magnitude of the lumped capacitances Ci at its input and output nodes, such as those schematically shown at 119, 129, . . . , 1n9. If each lumped capacitance, Ci is relatively large, then a greater amount of current will be shunted to ground as frequency increases and the maximum response frequency of the system becomes relatively small. On the other hand, if the lumped capacitance at each common node (e.g., 111) can be made substantially smaller, then less current will be shunted to ground at higher frequencies and the effective bandwidth of the circuit may be made comparatively larger. Reducing the lumped capacitance, Ci is difficult because three terminals meet at the common node 111, namely, the output terminal of the preceding delay cell 110, the input terminal of the next successive delay cell 120 and the input terminal of the associated multiplier 112. Each of these input/output terminals has some amount of parasitic capacitance associated with it and therefore it is not possible to eliminate these sources of additive capacitance under the illustrated architecture 100 of the so-called feedforward equalizer (FFE).
Referring to FIG. 2, an improved structure 200 in accordance with the invention is shown. Each delay cell has at least two output taps rather than just one. For example, the first delay cell in the chain 210 has a first output tap 211 coupling it to the next delay cell 220 and a separate, second output tap 212 coupling it to multiplier 216. Different primary and secondary delays, τ and τ2, are associated respectively with the first and second output taps, 211 and 212. The parasitic capacitance associated with the first output node 211 is of quantity C1b (219b) while the parasitic capacitance associated with second output node 212 is of quantity C1a (219a). It is understood that at least one, and typically each of C1a and C1b is less than the combined node capacitance C1 (119) of FIG. 1. Accordingly, because the distributed node capacitances 219a, 219b of the structure shown in FIG. 2 are generally smaller than the lumped node capacitance 119 (FIG. 1), the upper bandpass frequency of the delay circuit and multipliers of FIG. 2 can be increased relative to the upper bandpass frequency of the circuit 100 shown in FIG. 1. In one embodiment, the secondary delay, τ2 (207) is approximately 10 pico-seconds (10 ps) as measured between the product output node 203 (P0) of the first stage and the product output node 213 (P1) of the second stage. The primary delay, τ (217) is a larger quantity, of about 30-40 pico-seconds in the one embodiment where τ2 (207) is approximately 10 ps. The primary delay, τ (217) may be measured as the effective signal delay between product output nodes 213 (P1) and 223 (P2). The larger, primary delay τ (represented schematically by arrow-tipped lines 217 and 2n7) is the one that dominates the sum of periodically delayed signals output on line 205. Thus the primary delay, τ primarily determines the frequency-domain response of the circuit 200. In one embodiment, the larger, primary delay, τ (217, 2n7) is approximately 1⁄3 of a symbol period (T), which in the case of a bit period of T=100 pico-seconds is approximately 30 to 40 ps.
Although FIG. 2 shows the secondary subtaps, 212, 222, . . . , 2n2 as each being coupled to a respective, programmable multiplier, 216, 226, . . . , 2n6; it is within the contemplation of the disclosure for the secondary subtaps, 212, 222, . . . , 2n2 to instead more generically couple to any appropriate, follow-on unit which is to process the correspondingly delayed signal (e.g., Sin(t−τ2)) as may be desired while avoiding the penalty of having lumped capacitances from joining both the follow-on unit (112 in FIG. 1) and the next delay cell (120 in FIG. 1) to a common node (111 in FIG. 1). It is further within the contemplation of the disclosure for there to be more than just two subtaps (e.g., 211, 212) per delay cell. A plurality of such subtaps may be provided in each delay cell as will become more apparent when FIG. 3 is detailed. The number of subtaps per delay cell may vary depending on application. In some applications it may be desirable to provide a number of different, follow-on functions for each delay cell such as a follow-on multiplication (216), and a separate, follow-on addition (not shown) and/or a separate, follow-on other function where the penalty of added-on and lumped capacitance is avoided by attaching the follow-on function-providing units (e.g., 216) to separate subtaps of the given delay cell.
In the FFE configuration shown in FIG. 2, it is generally desirable to maintain the base gain of each delay cell, 210, 220, 230, . . . , 2n0, at approximately unity (gmR ̃1) so that there will be essentially no increase or decrease in signal strength as an input signal, Sin(t) cascades through a programmably-chosen number of delay cells. Otherwise, a cascaded change of signal strength will skew the weighting coefficients M0-Mn that actually define the summed result produced on output line 205. It will be seen that one of the advantages of the multiply-tapped delay cells 210, 220, etc. is that the unity gain factor of each given cell (e.g., Gain231 of cell 230) can be assured for the first tapped output 211 separately from the specific output gain provided at the secondary tapped output 212. In one embodiment, the output gain of the secondary tapped outputs 212, 222, . . . , 2n2 is greater than unity, thereby reducing the need to have a larger multiplier factor, M1, M2, . . . , Mn at each of the respective, follow-on multipliers 216, 226, . . . , 2n6. In summary, FIG. 2 shows a feedforward equalizer (FFE) having sub-tapped delay cells and smaller distributed capacitances at the sub-tapped output nodes.
Referring to FIG. 3, a delay cell 310 in accordance with the invention is shown as part of an FFE 300. This multiply-tapped delay cell 310 is of a differential amplifier configuration. It has symmetrical transistors 370 (N1, N2) opposingly disposed to feed the sum of their respective drain currents Id1, Id2 to a common current source 379. The magnitude of the common current, Ic is programmably adjustable as are the number of different-width transistors participating to form each of N1 and N2. This provides for a variable trans-conductance control as is indicated at 378. Control signal 377a may be used to adjust the overall, base gain of the delay cell 310 (voltage gain at 0 Hz) by varying the transconductance (gm) as a function of one or more of the number and channel widths of transistors participating to form each of N1 and N2 and the magnitude of the common current, Ic. The variable transconductance control 377a may thus be used to control the delay cell 310 so that the primary base gain, at its primary output node 311 will be approximately unity. In one embodiment, the base gain at the secondary tapped output node 312 is substantially greater than unity (e.g., about 1.2 or greater).
The respective drain impedances of the differentially-opposed transistors, N1 and N2, are symmetrically identical. Each drain impedance includes a series of inductors. For example, the drain impedance of N1 includes the illustrated inductances, L1a, L2a, and L3a. The drain impedance of N2 correspondingly includes the illustrated inductances, L1b, L2b, and L3b. In one embodiment inductors L1a and L2a include vertically stacked spiral coils disposed vertically above one another in different, insulatively spaced apart metal layers (conductive interconnect layers) of an integrated circuit and mutually coupled to each other by a coupling factor K12 having a value of approximately one. It is believed, that a mutual coupling factor of K12 of approximately unity provides the most physically compact structure for maximizing the effective, combined inductance of L1a and L2a. The third drain inductor L3a does not have to be mutually coupled to the other two inductances L1a and L2a, of the respective N1 drain impedance. Each of the coils typically has associated with it a parasitic series resistance such as illustrated at 371b, 372b, and 373b. 
In addition to the inductors and their respective, parasitic series resistances (optional), an intentional drain resistance 374 is included in the series path of each of the drain currents, Id1 and Id2. The intentional drain resistance 374 includes a portion (R4a, R4b) separating the remainder of the respective drain impedance from the power rail node 375 (+Vdd). In one embodiment, a programmably-variable resistance 376 (R5) is provided between the lower nodes of R4a and R4b (the opposed 374 resistances) for adjusting the effective base gain, gmR, of the primary output node 311. In one embodiment each of R4a and R4b is approximately 100 ohms plus or minus 5 ohms. The exact resistance may vary as a function of fabrication process and/or temperature. Adjustment of variable resistance R5 may be used to cause the effective, primary base gain of the amplifier, gmR to be approximately unity at node 311. The base gain at output node 311 is the gain at 0 Hz frequency, which is simply the effective DC drain resistance, as seen by each of the opposing drain currents Id1 and Id2 multiplied by the effective transconductance (gm) of the differential amplifier. Because Id1, and Id2 oppose each other by a differential amount so as to sum to the magnitude of the common current Ic (379) there will be a virtual ground (V=0) somewhere in the mid-point of resistance R5 (376). A variable voltage divider is therefore created for each of the drain legs between the virtual ground and the +Vdd voltage level of node 375. The schematic symbol at 376a indicates that variable resistance R5 may be implemented as a single P-channel MOS transistor. Gate control signal 377c′ may be used to programmably vary the resistance of transistor 376a. An advantage of such a structure is that it is more compact and it automatically generates its own virtual ground (V=0) without having to adjust for process variations and temperature variations about a true ground node.
As seen in FIG. 3, there are three distributed capacitances associated with each drain impedance, for example, capacitances 319a, 319b, and 318 for the drain impedance of N2. The capacitance value, Cvar of capacitance 318 is programmably variable (and capacitance 318′ of N1 tracks it by symmetry) while the respective capacitance values of 319a, 319b are dependent on parasitic attributes such as the front-end capacitances of the corresponding multiplier 316 and next delay stage 320. Programmable adjustment of the capacitance value, Cvar of capacitance 318 may be used to achieve a desired primary delay, τ (217, e.g., τ=T/3) irrespective of changes in temperature, supply power (+Vdd) or variations in fabrication process. Although not fully shown in FIG. 3, it is understood that each of the next delay stage 320 and corresponding multiplier 316 is a differential input device and accordingly the −V1out signal across capacitance 319b′ couples to the differential counterpart of transistor N3 (in next stage 320) and the −V2out signal across capacitance 319a′ couples to the differential counterpart of the illustrated, +V2out input of corresponding multiplier 316. Capacitance 319a′ therefore encompasses the parasitic or other loading capacitances of the corresponding multiplier 316, of routing interconnect and of the parasitic or other associated capacitances of the drain node of transistor N1. Capacitance 319a similarly encompasses the parasitic or other loading capacitances of the plus input terminal of multiplier 316 and of routing interconnect and of the parasitic or other associated capacitances of the drain node of transistor N2.
Because prediction of the frequency response of the illustrated differential amplifier 310 can be relatively complex, it is advisable to use computer simulation for determining the values of the various illustrated parameters for realizing a desired frequency-domain transfer function. It has been found that the ratio of the inductances of the first inductor 371a to the second inductor 372a should be made a function of the nominal expected capacitances of parasitic capacitances 319a, 319b, as well as the mid range capacitance of the variable capacitance 318. Thus,

L1/L2=f(Cpara, Cvar, Cparb)  Eq. 2.

The programmably-variable capacitance, Cvar (318 and 318′) may be programmably varied by use of control signal 377b to compensate for changes in temperature, for fabrication process variations and for changes in supply voltage (+Vdd) so that the frequency response from one delay cell to the next is approximately the same and provides a generally flat response across the frequency range of interest. Variable resistance R5 (376) is also programmably variable to provide an essentially unity based gain at output node 311. Thus control signals 377a, 377b and 377c may be used to fine tune the base behavior (0 Hz) and higher frequency behavior of the delay cell 310. Control signals 377a, 377b and 377c may be the same or individualized for each of the cascaded delay cells (310) populating FFE 300. In one embodiment, the input and output terminals of one exemplary delay cell or of a few coupled in series, are coupled to a comparator. The exemplary delay cell(s) may receive a DC reference level and/or an AC envelope. The comparator periodically or continuously determines if the absolute difference between input and output envelope magnitudes (or levels) exceeds a predetermined threshold. Ideally they should be exactly the same if the per-cell gain is exactly one. If the threshold is exceeded, adjustment signals of appropriate magnitude and polarity are generated for adjusting one or more of control signals 377a, 377b and 377c for thereby returning the per-cell base gain (of the output tap corresponding to node 311) closer to unity.
The DC voltage developed at primary output node 311 will be approximately Vdd−Id2·R4b (assuming R5 is very large and RsL3a/b is negligible). Because the parasitic series inductance resistances of L1 and L2, namely, resistances 371b and 372b, appear below node 311, the voltage output at the secondary tap 312 will have a higher base gain of gm·(R+RsL1b+RsL2b). In one embodiment, this secondary tap output gain is about 20% greater than unity. Of course, additional resistances may be added in series below node 311 and/or the resistances of the L1 and L2 coils may be purposefully made larger to further increase the base gain of the secondary tap output 312. Because the gain of the secondary tap output 312 can be made greater than one, the subsequent multipliers such as 316 do not have to provide as much of a gain as they otherwise would for achieving a desired weighting factor greater than one. The gain of differential amplifier based, delay unit 310 may therefore be used for simultaneously providing both a weighted gain (>1) at secondary output node 312 and a unity gain at primary output node 311. Thus two functions are provided from a single compact structure 310. Energy is conserved to the extent that the follow-on multipliers (316) do not have to provide greater boosting for attaining the desired weighting coefficient. The delay cell provides some of that as a pre-boost.
Methods for providing variable capacitances such as for capacitances 318 and 318′ of FIG. 3 are well known and need not be detailed here. Discrete switches may be used in combination with metal-insulator-metal (MIM) capacitors and/or voltage sensitive or insensitive MOS capacitors. It is worthy to note that the capacitance-setting switches should be appropriately sized so as to reduce their series resistance. Increasing transistor size also tends to increase the parasitic capacitance. Thus, reduction of switch resistance and switch capacitance trade off with each other.
Methods for providing variable transconductance (gmVar) are disclosed for example in the above-cited U.S. Ser. No. 10/724,449 (Digitally Controlled Transconductance Cell, which disclosure is incorporated herein by reference). Briefly, and as already mentioned, the number of transistors (e.g., different sized transistors) participating in each of the symmetrical branches of the differential amplifier (310) is programmably changed and/or the magnitude of the common constant current (379) is programmably changed. This has the effect of changing the amplifier's transconductance, gmVar.
Methods for providing variable inductances may also be used if desired, for tuning one or more of the inductances (L1, L2 and L3) in the delay cell 310 of FIG. 3. These methods may include a programmable switching in and out of additional inductors and/or changing the mutual inductance between L1 and L2. Such methods are disclosed for example in the above-cited U.S. Ser. No. 10/698,317 originally entitled “Programmable Passive Inductor” and incorporated herein by reference.
In conclusion it is seen that a space and energy efficient solution has been provided for reducing shunt capacitance at periodic nodes of a delay chain and for implementing feedforward equalizers (FFE's). The same cells may be simultaneously used both for generating a delayed, unity gain version of the input signal (at node 311) and for generating an amplified and differently delayed, version of the input signal (at node 312). Energy is conserved because part of the signal boost desired in follow-on multipliers (316) is already provided by the delay cells. Also, it may be shown that inductive drain boosting (where inductances such as 371, 372 and 373 are placed in series within the conduction paths of the drain currents, Id1 and Id2) is a more energy efficient way than alternatives for compensating for losses in shunt capacitances as frequency increases. Thus a relatively broadband response can be attained.
The present disclosure is to be taken as illustrative rather than as limiting the scope, nature, or spirit of the subject matter claimed below. Numerous modifications and variations will become apparent to those skilled in the art after studying the disclosure, including use of equivalent functional and/or structural substitutes for elements described herein, use of equivalent functional couplings for couplings described herein, and/or use of equivalent functional steps for steps described herein. Such insubstantial variations are to be considered within the scope of what is contemplated here. Moreover, if plural examples are given for specific means, or steps, and extrapolation between and/or beyond such given examples is obvious in view of the present disclosure, then the disclosure is to be deemed as effectively disclosing and thus covering at least such extrapolations.
If any disclosures are incorporated herein by reference and such incorporated disclosures conflict in part or whole with the present disclosure, then to the extent of conflict, and/or broader disclosure, and/or broader definition of terms, the present disclosure controls. If such incorporated disclosures conflict in part or whole with one another, then to the extent of conflict, the later-dated disclosure controls.
Unless expressly stated otherwise herein, ordinary terms have their corresponding ordinary meanings within the respective contexts of their presentations, and ordinary terms of art have their corresponding regular meanings within the relevant technical arts and within the respective contexts of their presentations herein.
Given the above disclosure of general concepts and specific embodiments, the scope of protection sought is to be defined by the claims appended hereto. The issued claims are not to be taken as limiting Applicant's right to claim disclosed, but not yet literally claimed subject matter by way of one or more further applications including those filed pursuant to 35 U.S.C. §120 and/or 35 U.S.C. §251.

## Claims

1. A tapped delay chain comprising a plurality of analog delay cells where at least a first delay cell in the chain has associated therewith a follow-on processing unit having an input capacitance and the first delay cell has:
at least two output taps for respectively outputting first and second delayed signals derived from and delayed relative to a received analog input signal of the first delay cell, where the delays of the first and second delayed signals differ from one another,
where a first of the at least two output taps is operatively coupled for feeding forward the corresponding first delayed signal to a next delay cell in the chain, and
where a second of the at least two output taps is operatively coupled for feeding the corresponding second delayed signal to the respective follow-on processing unit of the first delay cell so that the second delayed signal can be processed by the respective follow-on processing unit without loading the first output tap of the first delay cell with the input capacitance of the respective follow-on processing unit.

2. The tapped delay chain of claim 1 wherein:
said follow-on processing unit includes an analog signal multiplier.

3. A tapped delay processing system comprising:
a plurality of analog delay cells where each respective delay cell has associated therewith a respective follow-on processing unit having an input capacitance and each respective delay cell has:
at least two output taps for respectively outputting first and second delayed signals derived from and delayed relative to a received input signal of the respective delay cell, where the delays of the first and second delayed signals differ from one another,
where a first of the at least two output taps is operatively coupled for feeding forward the corresponding first delayed signal to a next delay cell in the chain, and
where a second of the at least two output taps is operatively coupled for feeding the corresponding second delayed signal to the respective follow-on processing unit of the respective delay cell so that the second delayed signal can be processed by the respective follow-on processing unit without loading the first output tap of the respective delay cell with the input capacitance of the respective follow-on processing unit; and
a combiner operatively coupled to receive a plurality of processed signals from the follow-on processing units of at least two of said plurality of delay cells and to combine the received plurality of processed signals so as to thereby generate an output signal that is a function of the combined processed signals.

4. The tapped delay processing system of claim 3 where at least two of said follow-on processing units each comprises a programmable multiplier.

5. The tapped delay processing system of claim 3 wherein the combiner includes an adder.

6. A feed-forward equalizer comprising:
a tapped analog delay line having a plurality of delay cells, each delay cell having an input node for receiving a corresponding input signal, a primary output node for outputting a corresponding primary delayed signal to a next of the delay cells and a secondary output node for outputting a corresponding secondary delayed signal, wherein delays of corresponding primary and secondary delayed signals differ substantially from one another;
a plurality of multipliers each coupled to a corresponding one of the secondary output nodes; and
an adder coupled to at least two of the multipliers.

7. The feed-forward equalizer of claim 6 wherein:
each delay cell includes a variable output impedance, and the output impedance has a primary output terminal and a secondary output terminal for respectively defining the corresponding primary and secondary output nodes of the delay cell.

8. The feed-forward equalizer of claim 6 wherein:
each delay cell includes a plurality of matched output impedances, and each of the matched output impedances has a respective primary output terminal and a respective secondary output terminal.

9. The feed-forward equalizer of claim 8 wherein:
each of the matched output impedances is a variable impedance.